Use the given information to find the unknown value:y varies jointly as x, z, and w. When x = 2, z = 6, and w = 6. then y = 144. Find y when x = 6, z = 1, and w = 1.y =

Joint variation:
[tex]y=k\cdot x\cdot z\cdot w[/tex]Procedure:
0. We have to calculate the value of ,k ,with the first given values.
[tex]144=k\cdot2\cdot6\cdot6[/tex]2. Simplifying:
[tex]144=k\cdot2\cdot36[/tex][tex]144=k\cdot72[/tex][tex]k=\frac{144}{72}[/tex][tex]k=2[/tex]3. Finally, we find y using the second values given now that we now k.
[tex]y=2\cdot6\cdot1\cdot1[/tex]Answer: y = 12